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Question: How to solve ODE?

Question:How to solve ODE?

Tokoro 115 Maple
ode differential-equations
June 13 2022
0

:RLC circuit I want to solve.

restart

with(DynamicSystems); with(inttrans)

E := 1; J := 3; R := 3; L := 1; C := 1/2

(1/s-6/s^2)/(s+3+2/s)

(1/s-6/s^2)/(s+3+2/s)

 (1)

i__RL := proc (t) options operator, arrow; invlaplace((1/s-6/s^2)/(s+3+2/s), s, t) end proc

proc (t) options operator, arrow; invlaplace((1/s-6/s^2)/(s+3+2/s), s, t) end proc

 (2)

"(->)"

-4*exp(-2*t)-3+7*exp(-t)

 (3)

e__C := proc (t) options operator, arrow; E-i__RL(t)*R-L*(diff(i__RL(t), t)) end proc

proc (t) options operator, arrow; E-i__RL(t)*R-L*(diff(i__RL(t), t)) end proc

 (4)

"(->)"

10+4*exp(-2*t)-14*exp(-t)

 (5)

plot([-4*exp(-2*t)-3+7*exp(-t), 10+4*exp(-2*t)-14*exp(-t)], t = 0 .. 10, color = [red, blue], thickness = 3, labels = ["t", "i(t)_red and vc(t)_blue"])

  

NULL

(1/s-6/s^2)/(s+3+2/s)

(1/s-6/s^2)/(s+3+2/s)

 (6)

"(->)"

[diff(x1(t), t) = x2(t), diff(x2(t), t) = -(1/3)*x3(t), diff(x3(t), t) = 6*x2(t)-3*x3(t)-3*u1(t), y1(t) = -6*x1(t)+x2(t)]

 (7)

How to solve this by Maple? The answer I want to solve is the plot shown above.

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